November 21, 2014
Unit F2 - Logarithmic Functions
Day 6 - Graphing Logarithmic Functions
Objective: Graph logarithms by hand and with the graphing calculator
November 21, 2014
1) y=log6x
by hand
Domain:
Range:
2) f(x) = log6x by g.c.
November 21, 2014
3) f(x)=log6x - 3
by hand
Domain:
Range:
Transformations:
Equation of the
asymptote:
4) y=log6 (x - 3)
Domain:
Range:
End Behavior:
by hand
Increasing Interval(s):
Decreasing Interval(s):
November 21, 2014
5) y = log4x by hand
Domain:
Range:
End Behavior:
6) g(x) = log4(x-3) by hand
Domain:
Range:
Transformations:
End Behavior:
Increasing Interval(s):
Decreasing Interval(s):
7) y = log4(x-3) by g.c.
Real Zero(s):
Positive Interval(s):
x-intercept(s):
Negative Interval(s):
y-intercept(s):
November 21, 2014
8) f(x) = log2 (x-2) + 4
Domain:
Equation of the asymptote:
Range:
Transformations:
End Behavior:
November 21, 2014
9) y = 3 ln (x+2) by hand
Domain:
Range:
10) y = 3 ln (x+2) by g.c.
Real Zero(s):
Positive Interval(s):
x-intercept(s):
Negative Interval(s):
y-intercept(s):
Increasing Interval(s):
Decreasing Interval(s):
November 21, 2014
11) y = 2log3 x-4 by hand
Domain:
Range:
Assignment: Worksheet #6
November 21, 2014